26÷2 as a repeated subtraction​

Answer:

104.65 m

Step-by-step explanation:

The plane with the smaller angle of depression is closer to the raft.

Taking the tan values of both planes :

Plane 1 (57°)

Plane 2 (48°)

Equate Equations 1 and 2 :

Taking the sin ratio to find distance :

Answer:

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Step-by-step explanation:

o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:

Differentiate both sides of the equation with respect to x:

cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx

Simplify by grouping the terms with dy/dx on one side and the rest on the other side:

cos(x+y) * (1 + dy/dx) + 4dy/dx = 4

Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):

cos(2π) * (1 + dy/dx) + 4dy/dx = 4

Simplify:

-5dy/dx = 4 - cos(2π)

dy/dx = -4/5

Use the point-slope form of the equation of a line to write the equation of the tangent line:

y - π = (-4/5)(x - π)

Simplify:

y = (-4/5)x + (8/5) + π

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Answer:

i cant see it

Step-by-step explanation:

Answer:

-----------------------

Taking the inverse tangent (arctan) of the given ratio 7/9.

Use a calculator or trigonometric table to find:

The approximate value of θ is 37.9°.

Answer:

The range of the function \(f(x) = -|3\cdot x+3|\) is every positive real numbers plus zero.

Step-by-step explanation:

According to definition of the absolute value, the range of absolute value covers positive real numbers or zero. A linear function is a continuous function, which means the existence of an image for every element from domain. The negative sign transforms the original range to all negative real numbers plus zero.

Hence, the range of the function \(f(x) = -|3\cdot x+3|\) is every positive real numbers plus zero.

The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s  and the solution is g=46, s=29, b=29

(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.

This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:

g + s + b = 104

(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:

g = 46

s = b

Thus, the relationship between the number of silver to bronze medals is s = b

(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:

g + s + b = 104

46 + b + b = 104

46 + 2b = 104

2b = 104 -46

2b = 58

b = 58/2

b = 29

Also, s = 29        (Remember: s = b)

Thus, g = 46, s =29, b = 29

Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively

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Answer:

-24

Step-by-step explanation:

The parentheses means you have to multiply the 2 numbers

Answer:

-24

Step-by-step explanation:

Step-by-step explanation:

all such triangles inscribed into a circle with their baseline being the diameter of the circle, must be right-angled. the 90 degree angle is at C.

the other thing is that the sum of all angles in a triangle is always 180 degrees.

so,

B = 180 - 90 - 20 = 70 degrees

Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.

The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:

Var(x) = (b-a)^2 / 12

For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:

Var(x) = (44 - 40)^2 / 12 = 1.155

Therefore, the variance of 'x' is approximately 1.155

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Answer:

hey

Step-by-step explanation:

It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

all corresponding parts of both triangles are congruent. (Option A).

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

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Answer:

f(h(x)) = 2x - 4

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x - 7

h(x) = 2x + 3

f(h(x)) is x = h(x)

Step 2: Find f(h(x))

Answer:

0.08, 1/4, 0.3, 1/3, 40%, 85%

Step-by-step explanation:

Let's start by converting everything into a decimal

0.08

0.30

40%=0.40

85%=0.85

1/3=0.33

1/4=0.25

Now we order them from least to greatest:

0.08, 0.25, 0.30, 0.33, 0.40, 0.85

0.08, 1/4, 0.3, 1/3, 40%, 85%

The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.

From the information given, the equation of parabola will be:

= (x - 3)²/5² + (y - 2)²/3² = 1

Hence, h = 3, k = 2, a = 5, b = 3

e = ✓1 - ✓3²/5²

E = 4/5 = 0.8

The directix will be:

x = 3 + 5/0.8

x = 9.25

x = 3 - 5/0.8

x = -3.25

Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.

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We may predict that, when rοunded tο the clοsest whοle number, 185 persοns οught tο be present at Sοcial Prοblems οn Sunday.

Detailed numbers the set οf integers that cοntains zerο and the natural numbers. nοt a decimal and fractiοn. Integer 0 thrοugh 2, 3, 4, 5, 6, 7, 8, 9, 10, and sο οn. a cοunting number, a negative number, οr zerο.

The library saw a sum οf 416 + 448 + 341 = 1205 visitοrs οn Saturday. By dividing the entire number οf visitοrs by the number οf visitοrs whο visited Sοcial Prοblems, and then multiplying the result by 100% tο represent the results as a percentage, we can determine what percentage οf these visitοrs visited Sοcial Issues:

Percentage οf visitοrs whο went tο Sοcial Issues = (448 ÷ 1205) x 100%

Percentage οf visitοrs whο went tο Sοcial Issues ≈ 37.18%

We may assume that a similar percentage οf Saturday's visitοrs will return οn Sunday in οrder tο estimate the number οf persοns whο can be expected tο attend Sοcial Prοblems οn that day. Tο determine hοw many peοple will visit Sοcial Prοblems οn Sunday, we can utilize the prοpοrtiοn mentiοned abοve:

Estimated number οf visitοrs tο Sοcial Issues οn Sunday = (37.18% οf 500 visitοrs)

Estimated number οf visitοrs tο Sοcial Issues οn Sunday ≈ 185

We may calculate that, if we rοund tο the next whοle number, 185 persοns shοuld be anticipated tο attend Sοcial Prοblems οn Sunday.

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Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:

y+8=1/6(x+9)

Step-by-step explanation:

point slope: y - y1 = m ( x - x1 )

use the point and the slope and plug in the values in the point slope equation

Answer:

291870 kilotons

Step-by-step explanation:

Since the country cuts its carbon content by 1.1% each year. The initial value at the first year is 50000. Therefore this can be represented by the exponential function:

y = a(b)ˣ ⁻ ¹

where y is the amount of carbon emission in kilotons in x years.

a = 50000, b = 100% - 1.1% = 98.9% = 0.989

y = 50000(0.989)ˣ ⁻ ¹

In the first year: y = 50000(0.989)¹ ⁻ ¹ = 50000

In the second year: y = 50000(0.989)² ⁻ ¹ = 49450

In the third year: y = 50000(0.989)³ ⁻ ¹ = 48906

In the fourth year: y = 50000(0.989)⁴ ⁻ ¹ = 48368

In the fifth year: y = 50000(0.989)⁵ ⁻ ¹ = 47836

In the sixth year: y = 50000(0.989)¹ ⁻ ¹ = 47310

The total emission in 6 years = 50000 + 49450 + 48906 + 48368 + 47836 + 47310 = 291870 kilotons

Answer:

the answer is -98

Step-by-step explanation:

i hope it is write

Answer:  The number line represents  −4 1/2 +3 1/4.

4*2+1 / 2 =8.5    +  3*4+1 /4 =3.25  

-8.5 + 3.25 =-5.25

What is the sum?  -5.25

C). -1 1/4    

Step-by-step explanation:

The probability of a defect is 5.7330 x \(10^{-5}\) and the number of defects is 5.73.

To calculate the probability of a defect, we need to find the area under the standard normal curve that lies outside of the process control limits of 9.75 ounces and 10.25 ounces. We can use the standard normal distribution table to find this area.

First, we need to standardize the weight limits as follows -

\(Z_{lower}\) = (9.75 - 10) / 0.25 = -4

\(Z_{upper}\) = (10.25 - 10) / 0.25 = 4

Next, we will find the area under the standard normal curve that lies outside of these limits as follows -

P(Defect) = P(Z < -4) + P(Z > 4)

Using a standard normal distribution table, we can find that P(Z < -4) = 2.8665 x   \(10^{-5}\)  and P(Z > 4) = 2.8665 x  \(10^{-5}\) .

So, the total probability of a defect is -

P(Defect) = 2.8665 x  \(10^{-5}\)  + 2.8665 x  \(10^{-5}\)  = 5.7330 x  \(10^{-5}\)

Finally, we will find the number of defects for a 1,000-unit production run as follows -

The number of defects = 1000 * 5.7330 x  \(10^{-5}\)  = 5.73 (rounded to the nearest whole number).

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The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

You have $1000 to put resources into two distinct records. To set aside the cash you really want for school, you really want to average a 6.1 percent premium. Assuming the two records pay a 3% and 7 % premium.

Let 'x' be the amount deposited in an account that pays 3% of interest. Then the amount deposited in another account that pays 7% of interest is (1000 - x). Then the equation is given as,

0.03x + 0.07(1000 - x) = 0.061 × 1000

Simplify the equation, then we have

0.03x + 0.07(1000 - x) = 0.061 × 1000

0.03x + 70 - 0.07x = 61

-0.04x + 70 = 61

0.04x = 70 - 61

0.04x = 9

x = 9 / 0.04

x = $225

Then the amount in the second account will be given as,

⇒ $1000 - $225

⇒ $775

The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.

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Answer:

5/10 or 1/2

Step-by-step explanation:

1=hundreds

2=tens

4=units

.

5=tenths

1=hundredths

9=units

The value of 5 in the given decimal number is \(\frac{5}{10}\)

Given :

A decimal number 124.519

In the given number 5 is in tenth place

Lets expand the number and check

\(124.519\\1 \cdot 100+2\cdot 10+4+5\cdot \frac{1}{10} +9\cdot \frac{1}{100}\)

now we look at the value of 5 in the given decimal number

\(5\cdot \frac{1}{10} \\\\ \frac{5}{10} \\ \frac{1}{2}\)

The value of 5 in the given decimal number is 5/10

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Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

Answer:

Graph A

Step-by-step explanation:

The x coordinate is -4 and the y coordinate is 3.

Answer = -91

step by step explanation